Bound states of infinite curved polymer chains

Details Bound states of infinite curved polymer chains Bound states of infinite curved polymer chains

2000-10-27

arxiv.org/abs/math-ph/0010046v1

Lett. Math. Phys. 57 (2001), 87-96

Physics

Mathematical Physics

LaTeX2e, 12 pages

Scientific paper

10.1023/A:1017923426674

We investigate an infinite array of point interactions of the same strength in R^d, d=2,3, situated at vertices of a polygonal curve with a fixed edge length. We demonstrate that if the curve is not a line, but it is asymptotically straight in a suitable sense, the corresponding Hamiltonian has bound states. Example is given in which the number of these bound states can exceed any positive integer.

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